Bifurcation values and monodromy of mixed polynomials

DOI10.4310/MRL.2012.v19.n1.a6zbMath1274.14006arXiv1011.4884MaRDI QIDQ2391585

Ying Chen, Mihai-Marius Tibar

Publication date: 5 August 2013

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.4884

zbMATH Keywords

Newton polyhedronfibrationsbifurcation locusregularity at infinitysingularities of real polynomial mapsatypical valuessemi-algebraic Sard type theorem

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Semialgebraic sets and related spaces (14P10) Singularities of differentiable mappings in differential topology (57R45) Global theory of complex singularities; cohomological properties (32S20) Critical points of functions and mappings on manifolds (58K05) Topological properties of mappings on manifolds (58K15)

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Toward effective detection of the bifurcation locus of real polynomial maps ⋮ Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions ⋮ New classes of mixed functions without Thom regularity ⋮ Harmonic morphisms and their Milnor fibrations ⋮ Thom irregularity and Milnor tube fibrations ⋮ Images of analytic map germs and singular fibrations ⋮ Milnor fibration at infinity for mixed polynomials ⋮ Invertible polynomial mappings via Newton non-degeneracy ⋮ Milnor-Hamm sphere fibrations and the equivalence problem ⋮ Bifurcation sets and global monodromies of Newton nondegenerate polynomials on algebraic sets ⋮ The bifurcation set of a rational function via Newton polytopes ⋮ Milnor-Hamm fibration for mixed maps ⋮ Bifurcation sets of real polynomial functions of two variables and Newton polygons

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